New Pool

[PoolDoc]

You don't WANT a CC reading, or rather, a reading of CC=0 is optimal. So, no, it's not a problem.

[BigDave]

You need a source of chlorine. If you don't maintain chlorine, your pool will go green again. You can use tabs in your feeder for a while but when your CYA reaches 40-50, it would be best to stop the stabilized chlorine and start using bleach.